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T(n) = 5n + 16

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Q: Which one is a rule for the n th term of an arithmetic sequence with a8 equals 56 and d equals 5?
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Rule to finding terms in a arithmetic sequence?

The nth term of an arithmetic sequence = a + [(n - 1) X d]


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The answer depends on what the explicit rule is!


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There is only one type of arithmetic sequence.The sequence may be defined by a "position-to-value" rule. This would be of the form:U(n) = a + n*dwhere a a constant which equals what the 0th term in the sequence would be,d is also a constant - the common difference between each term in the sequence and the preceding term.and n is a variable that is a counter for the position of the term in the sequence.The same sequence can be defined iteratively by:U(0) = aU(n+1) = U(n) + d for n = 1, 2, 3, ...


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How do you write a rule for the nth term of this arithmetic sequence d equals 4 a14 equals 46?

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If a equals 4 and d equals -2 what is the first four terms of the arithmetic sequence?

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